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Simplifying 15 + -1(4m + 8) = 5 + 3m + -19 Reorder the terms: 15 + -1(8 + 4m) = 5 + 3m + -19 15 + (8 * -1 + 4m * -1) = 5 + 3m + -19 15 + (-8 + -4m) = 5 + 3m + -19 Combine like terms: 15 + -8 = 7 7 + -4m = 5 + 3m + -19 Reorder the terms: 7 + -4m = 5 + -19 + 3m Combine like terms: 5 + -19 = -14 7 + -4m = -14 + 3m Solving 7 + -4m = -14 + 3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-3m' to each side of the equation. 7 + -4m + -3m = -14 + 3m + -3m Combine like terms: -4m + -3m = -7m 7 + -7m = -14 + 3m + -3m Combine like terms: 3m + -3m = 0 7 + -7m = -14 + 0 7 + -7m = -14 Add '-7' to each side of the equation. 7 + -7 + -7m = -14 + -7 Combine like terms: 7 + -7 = 0 0 + -7m = -14 + -7 -7m = -14 + -7 Combine like terms: -14 + -7 = -21 -7m = -21 Divide each side by '-7'. m = 3 Simplifying m = 3
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